On the measurability and the Baire property oft-Wright-convex functions

• Autores: Andrzej Olbrys
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 68, Nº. 1-2, 2004, págs. 28-37
• Idioma: inglés
• DOI: 10.1007/s00010-003-2718-2
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• Resumen

  • J. Matkowski and M. Wróbel proved that every lower semicontinuous t-Wright-convex function is continuous. Z. Kominek proved that the continuity at a point of an arbitrary t-Wright-convex function implies its continuity everywhere. In this note we will show that every Lebesgue measurable or Baire measurable t-Wright-convex function f : (a, b) -> R is continuous.